(3a+7)(2a+5)=

Simple and best practice solution for (3a+7)(2a+5)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (3a+7)(2a+5)= equation: 


Simplifying
(3a + 7)(2a + 5) = 0

Reorder the terms:
(7 + 3a)(2a + 5) = 0

Reorder the terms:
(7 + 3a)(5 + 2a) = 0

Multiply (7 + 3a) * (5 + 2a)
(7(5 + 2a) + 3a * (5 + 2a)) = 0
((5 * 7 + 2a * 7) + 3a * (5 + 2a)) = 0
((35 + 14a) + 3a * (5 + 2a)) = 0
(35 + 14a + (5 * 3a + 2a * 3a)) = 0
(35 + 14a + (15a + 6a2)) = 0

Combine like terms: 14a + 15a = 29a
(35 + 29a + 6a2) = 0

Solving
35 + 29a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + 2a)(7 + 3a) = 0


Subproblem 1
Set the factor '(5 + 2a)' equal to zero and attempt to solve:

Simplifying
5 + 2a = 0

Solving
5 + 2a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = 0 + -5
2a = 0 + -5

Combine like terms: 0 + -5 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5

Subproblem 2
Set the factor '(7 + 3a)' equal to zero and attempt to solve:

Simplifying
7 + 3a = 0

Solving
7 + 3a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 0 + -7
3a = 0 + -7

Combine like terms: 0 + -7 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333
Solution
a = {-2.5, -2.333333333}

See similar equations:

| -5x+4=-31 | | 30(13.10)=17x+2 | | -3(6r-5+9s)= | | 44(x+10)-6=-3(x-2) | | 9008c-28c/70=97+78c | | a+2b=5c | | 2[x-2(3-x)-3x]=4(5-x) | | 10n-4=46 | | -0.83w-0.5=1.67w-2.5 | | 0.17-0.03(x+2)=-0.02(2-x) | | m/12=0 | | 8(5x+4y+3)= | | .50t=-8 | | x+2x=63 | | 4x-6x-11=-2x+6-11 | | -1+6(-n+5)=-7(-n-4)+2 | | 6(x-4)=3x | | 2y^2=7y-3 | | 7(8n-1)+8=8(7n+8) | | -5w-15=-w+1 | | -5x-15=-1w+1 | | n/8=24 | | 5x+32=14x-49 | | 0.16(y-7)+0.20y=0.04y-0.05(40) | | -5x-15=-w+1 | | z^4+4z^2+16=0 | | -2+4x=4x-2 | | -4(x-7)= | | -4.9x-5.9=0.6x-0.4 | | -7ij+2ik-2i+2=-6j-8 | | u/2=12 | | 84-7x=11x+22 |

Equations solver categories